Journal of Lie Theory

no. 4
Angle Measures of some Cones Associated with Finite Reflection Groups
P. V. Bibikov1; V. S. Zhgoon2
1Moscow State University, Department of Mathematics and Mechanics, Chair of Higher Algebra, Leninskie Gory 1, 119991 Moscow, Russia
2Science Research Institute of System Studies, Dept. of Mathematical Problems in Informatics, Nakhimovskii Prospect 36-1, 117218 Moscow, Russia
Journal of Lie Theory, Volume 19 (2009) no. 4, pp. 767-769
We give a generalization of "Curious Identity" of De Concini and Procesi. Our proof is based on the recent result of Waldspurger about the decomposition of the cone dual to the fundamental chamber of a finite reflection group as a disjoint union of some subcones.
DOI: 10.5802/jolt.579
Classification: 17B22
Keywords: Finite reflection groups, fundamental chamber, cone of positive roots, relative angle measure

P. V. Bibikov  1 ; V. S. Zhgoon  2

1 Moscow State University, Department of Mathematics and Mechanics, Chair of Higher Algebra, Leninskie Gory 1, 119991 Moscow, Russia
2 Science Research Institute of System Studies, Dept. of Mathematical Problems in Informatics, Nakhimovskii Prospect 36-1, 117218 Moscow, Russia 
P. V. Bibikov; V. S. Zhgoon. Angle Measures of some Cones Associated with Finite Reflection Groups. Journal of Lie Theory, Volume 19 (2009) no. 4, pp. 767-769. doi: 10.5802/jolt.579
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     title = {Angle {Measures} of some {Cones} {Associated} with {Finite} {Reflection} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {767--769},
     year = {2009},
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